The generator matrix

 1  0  0  0  1  1  1  1  1  1  1  1  1  0  1  1 20  1  5  1  1  1  1  1  1  1  1  1 10  1 20  1  0  1  1 15  1  1  1  1  1  1  1  1  1  1  0  1  1  1 20  1 10  1  1  1  1  1  1  1  1  1 15  5  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  0  0 15 20 16 21  1 22 24 12 23  1 13 10  1  4  1  7  7 11 19  2 19  0 19 24  1 20  1 15  1 14 12  0 22  2  1 24 18 10 16 12  5 18  1 17  9 13  1  0  1  1  3 18 13  1 19 14  8  9  1  1 20  3  8 13 10 17 22 10 21 12 14 14 12 20 23 10  6  5
 0  0  1  0 16 22  8  1  2  6  7  5 18  4  5 24  1 13  1 15  9 17  2 22 20  4 10  9 18 12 21 23 18 20  2  1 19  6 20 18  8 23 19 10 11 12  7 13  3 24 10  3  7  5  4  5 13 10 11  4  8 16 16 17  1 19  0  5 13  3  9 19  9  0 12 13  6 15  9  6  2  2
 0  0  0  1  8 22 13 16  5 17 21  6 10 23  3 22 18  7  9  9 18 11 13 12 10 11 16 17 23 19 22  7 17 23  0  1 11 13  8 18 22 14  5 12  7  1 20 24  5 20 21 20 14 21  8 17 23  4 17  6 14 16 15 18  3  1 16 15 18 20 22  8  8  5  9  7 11 18 21 24 14 11

generates a code of length 82 over Z25 who´s minimum homogenous weight is 306.

Homogenous weight enumerator: w(x)=1x^0+620x^306+1200x^307+580x^308+980x^309+2696x^310+4180x^311+4680x^312+3340x^313+4400x^314+6364x^315+9800x^316+9280x^317+5240x^318+7940x^319+10952x^320+14920x^321+14800x^322+9740x^323+12400x^324+15884x^325+21340x^326+19000x^327+12100x^328+16740x^329+19660x^330+23540x^331+19280x^332+12400x^333+14100x^334+16260x^335+18600x^336+15280x^337+7220x^338+7020x^339+7356x^340+8200x^341+5560x^342+1800x^343+1420x^344+1392x^345+1300x^346+920x^347+80x^348+20x^350+20x^355+8x^360+4x^365+4x^375+4x^380

The gray image is a code over GF(5) with n=410, k=8 and d=306.
This code was found by Heurico 1.16 in 326 seconds.